Controlled K-Fusion Frame for Hilbert Spaces
K-fusion frames are a generalization of fusion frames in frame theory. In this paper, we extend the concept of controlled fusion frames to controlled K-fusion frames, and we develop some results on the controlled K-fusion frames for Hilbert spaces, which generalize some well known results of control...
| Autors principals: | , , |
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| Format: | Article |
| Idioma: | English |
| Publicat: |
Sciendo
2021-01-01
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| Col·lecció: | Moroccan Journal of Pure and Applied Analysis |
| Matèries: | |
| Accés en línia: | https://doi.org/10.2478/mjpaa-2021-0011 |
| Sumari: | K-fusion frames are a generalization of fusion frames in frame theory. In this paper, we extend the concept of controlled fusion frames to controlled K-fusion frames, and we develop some results on the controlled K-fusion frames for Hilbert spaces, which generalize some well known results of controlled fusion frame case. Also we discuss some characterizations of controlled Bessel K-fusion sequences and of controlled K-fusion frames. Further, we analyze stability conditions of controlled K-fusion frames under perturbation. |
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| ISSN: | 2351-8227 |